Find the LCM of 785, 733, 949, 559, 722 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 785, 733, 949, 559, 722. So, keep reading to learn more.
Given numbers are 785,733,949,559,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,733,949,559,722 is 16952958424870.
Find LCM of 785,733,949,559,722 with Prime Factorization
13 | 785, 733, 949, 559, 722 |
785, 733, 73, 43, 722 |
Multiply the prime numbers at the bottom and the left side.
13 x 785 x 733 x 73 x 43 x 722 = 16952958424870
Therefore, the lowest common multiple of 785,733,949,559,722 is 16952958424870.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
785 x 733 x 949 x 559 x 722 = 220388459523310
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
785 : 1, 5, 157, 785
733 : 1, 733
949 : 1, 13, 73, 949
559 : 1, 13, 43, 559
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,733,949,559,722, is 1.
Now, the common factors can be found like this.
785:5x 157
733:733
949:13x 73
559:13x 43
722:2x 19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 220388459523310/(1x13)
LCM = 220388459523310/13
LCM = 16952958424870
Thus, we can understand that the LCM of 785,733,949,559,722 is 16952958424870.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 785, 733, 949, 559, 722?
Answer: LCM of 785, 733, 949, 559, 722 is 16952958424870.
2. How to calculate the LCM of 785, 733, 949, 559, 722?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 785, 733, 949, 559, 722.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.